algebra

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manasi_sh: Senior | Next Rank: 100 Posts; Posts: 69; Joined: Sat Sep 15, 2007 1:54 am

by manasi_sh » Sat Oct 06, 2007 8:41 pm

16. x – y = 3
2x = 2y + 6
The system of equations above has how many
solutions?
(A) None
(B) Exactly one
(C) Exactly two
(D) Exactly three
(E) Infinitely many

ANS: E
I thou it will A

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Source: Beat The GMAT — Problem Solving | Sat Oct 06, 2007 8:41 pm

samirpandeyit62: Master | Next Rank: 500 Posts; Posts: 460; Joined: Sun Mar 25, 2007 7:42 am; Thanked: 27 times

by samirpandeyit62 » Sat Oct 06, 2007 11:00 pm

x – y = 3
2x = 2y + 6

typically these are a set of simultaneous eqns which will have 2 solns

however the two eqns are
x -y =3
2x -2y = 6 i.e x -y =3

so both the eqns are the same
hence we cannot find a soln, howver we cannot say that there is no soln

coz 6 -3 =3, 10-7 =3 ........ these all can be potential values of x,y

hence we can say that there are infinte possibilites for x & y
so E

Regards
Samir

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